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Finding the Fourth Proportional to 495.79, 742.15 and 264.11

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Solution

The fourth proportional to 495.79, 742.15 and 264.11 is: 395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.79 : 742.15 = 264.11 : x
  2. Step 2: Convert to fraction form
    495.79/742.15 = 264.11/x
  3. Step 3: Cross multiply
    495.79x = 742.15 × 264.11
  4. Step 4: Simplify right side
    495.79x = 196,009.24
  5. Step 5: Solve for x
    x = 196,009.24/495.79
  6. Step 6: Final answer
    x = 395.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.